HDU-2669 Romantic

最新推荐文章于 2020-03-22 16:48:55 发布

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最新推荐文章于 2020-03-22 16:48:55 发布

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分类专栏： 6.扩展欧几里德

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Romantic

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 5638 Accepted Submission(s): 2391

Problem Description

The Sky is Sprite.
The Birds is Fly in the Sky.
The Wind is Wonderful.
Blew Throw the Trees
Trees are Shaking, Leaves are Falling.
Lovers Walk passing, and so are You.
................................Write in English class by yifenfei

Girls are clever and bright. In HDU every girl like math. Every girl like to solve math problem!
Now tell you two nonnegative integer a and b. Find the nonnegative integer X and integer Y to satisfy X*a + Y*b = 1. If no such answer print "sorry" instead.

Input

The input contains multiple test cases.
Each case two nonnegative integer a,b (0<a, b<=2^31)

Output

output nonnegative integer X and integer Y, if there are more answers than the X smaller one will be choosed. If no answer put "sorry" instead.

Sample Input

Sample Output

Author

yifenfei

Source

HDU女生专场公开赛——谁说女子不如男

Recommend

lcy

裸的exgcd。

#include <iostream>
using namespace std;

typedef long long int ll;


ll exgcd(ll a,ll b,ll &x,ll &y)
{
    ll ans,temp;
    if(b==0)
    {
        x=1;
        y=0;
        return a;
    }
    ans=exgcd(b,a%b,x,y);
    temp=x;
    x=y;
    y=temp-a/b*y;
    return ans;
}

ll cal(ll a,ll b,ll c)
{
    ll x,y;
    ll gcd=exgcd(a,b,x,y);
    if(c%gcd!=0) return -1;
    x*=c/gcd;
    b/=gcd;
    if(b<0) b=-b;
    ll ans=x%b;
    if(ans<=0) ans+=b;
    return ans;
}

int main()
{
    ll a,b;
    while(cin>>a>>b)
    {
        ll ans=cal(a,b,1);
        if(ans==-1) cout<<"sorry"<<endl;
        else cout<<ans<<" "<<(1-ans*a)/b<<endl;
    }
    return 0;
}